Atkin-Lehner |
2- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
55738m |
Isogeny class |
Conductor |
55738 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1785600 |
Modular degree for the optimal curve |
Δ |
3.8606952054548E+19 |
Discriminant |
Eigenvalues |
2- -1 -3 1 1 1 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1717327,812283285] |
[a1,a2,a3,a4,a6] |
j |
656733501553/45265984 |
j-invariant |
L |
2.4104895161681 |
L(r)(E,1)/r! |
Ω |
0.20087412647683 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55738w1 |
Quadratic twists by: -31 |